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Add −12/7 + (3/14). Write your answer as a reduced improper fraction.(1 point)Asked by gtagmonke23
Add −12/7+(3/14) Write your answer as a reduced improper fraction.(1 point)
Answers
Answered by
gtagmonke23
Can you write it as a normal fraction?
Answered by
gtagmonke23
Stop putting it in weird code
Answered by
gtagmonke23
Add −12/7+(3/14)
Answered by
gtagmonke23
Dont put it in weird code
Answered by
GPT-4o mini
To add the fractions \(-\frac{12}{7}\) and \(\frac{3}{14}\), we need a common denominator. The least common multiple of 7 and 14 is 14.
Now, we convert \(-\frac{12}{7}\) to a fraction with a denominator of 14:
\[
-\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14}
\]
Now we can add the two fractions:
\[
-\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14}
\]
Next, we simplify \(\frac{-21}{14}\). Both 21 and 14 can be divided by 7:
\[
\frac{-21 \div 7}{14 \div 7} = \frac{-3}{2}
\]
Thus, the answer is:
\[
\boxed{-\frac{3}{2}}
\]
Now, we convert \(-\frac{12}{7}\) to a fraction with a denominator of 14:
\[
-\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14}
\]
Now we can add the two fractions:
\[
-\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14}
\]
Next, we simplify \(\frac{-21}{14}\). Both 21 and 14 can be divided by 7:
\[
\frac{-21 \div 7}{14 \div 7} = \frac{-3}{2}
\]
Thus, the answer is:
\[
\boxed{-\frac{3}{2}}
\]
Answered by
GPT-4o mini
Certainly! The fraction \(-\frac{3}{2}\) can also be expressed as a mixed number.
To convert \(-\frac{3}{2}\) into a mixed number:
1. Divide 3 by 2, which equals 1 with a remainder of 1.
2. Thus, \(-\frac{3}{2}\) can be written as \(-1 \frac{1}{2}\).
So, written as a normal fraction or mixed number, it is:
\[
-1 \frac{1}{2}
\]
If you need further assistance, feel free to ask!
To convert \(-\frac{3}{2}\) into a mixed number:
1. Divide 3 by 2, which equals 1 with a remainder of 1.
2. Thus, \(-\frac{3}{2}\) can be written as \(-1 \frac{1}{2}\).
So, written as a normal fraction or mixed number, it is:
\[
-1 \frac{1}{2}
\]
If you need further assistance, feel free to ask!
Answered by
GPT-4o mini
Apologies for that! The fraction -3/2 can be expressed as a mixed number.
As a mixed number, it is written as:
-1 1/2
This means negative one and one-half. If you have any more questions or need further clarification, just let me know!
As a mixed number, it is written as:
-1 1/2
This means negative one and one-half. If you have any more questions or need further clarification, just let me know!
Answered by
GPT-4o mini
To add \(-\frac{12}{7} + \frac{3}{14}\), we first need to find a common denominator.
The denominators are 7 and 14. The least common denominator (LCD) is 14.
Now, we need to convert \(-\frac{12}{7}\) to have a denominator of 14:
\[
-\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14}
\]
Now we can add the two fractions:
\[
-\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14}
\]
Next, we simplify \(-\frac{21}{14}\):
Both the numerator and the denominator can be divided by 7:
\[
-\frac{21 \div 7}{14 \div 7} = -\frac{3}{2}
\]
So, \(-\frac{12}{7} + \frac{3}{14}\) simplifies to:
**-3/2**
If you want it in mixed number form, it's **-1 1/2**. Let me know if there's anything else you need!
The denominators are 7 and 14. The least common denominator (LCD) is 14.
Now, we need to convert \(-\frac{12}{7}\) to have a denominator of 14:
\[
-\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14}
\]
Now we can add the two fractions:
\[
-\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14}
\]
Next, we simplify \(-\frac{21}{14}\):
Both the numerator and the denominator can be divided by 7:
\[
-\frac{21 \div 7}{14 \div 7} = -\frac{3}{2}
\]
So, \(-\frac{12}{7} + \frac{3}{14}\) simplifies to:
**-3/2**
If you want it in mixed number form, it's **-1 1/2**. Let me know if there's anything else you need!
Answered by
GPT-4o mini
Got it! I will keep it simple.
To add \(-12/7\) and \(3/14\):
1. Convert \(-12/7\) to a common denominator of 14:
- \(-12/7\) becomes \(-24/14\).
2. Now add \(-24/14\) and \(3/14\):
- \(-24 + 3 = -21\), so you get \(-21/14\).
3. Simplify \(-21/14\):
- Both numbers can be divided by 7, giving you \(-3/2\).
So, the final answer is **-3/2**.
Let me know if you need anything else!
To add \(-12/7\) and \(3/14\):
1. Convert \(-12/7\) to a common denominator of 14:
- \(-12/7\) becomes \(-24/14\).
2. Now add \(-24/14\) and \(3/14\):
- \(-24 + 3 = -21\), so you get \(-21/14\).
3. Simplify \(-21/14\):
- Both numbers can be divided by 7, giving you \(-3/2\).
So, the final answer is **-3/2**.
Let me know if you need anything else!
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